216153773304561 has 27 divisors (see below), whose sum is σ = 314493399031851. Its totient is φ = 143061748992864.

The previous prime is 216153773304559. The next prime is 216153773304563. The reversal of 216153773304561 is 165403377351612.

The square root of 216153773304561 is 14702169.

It is a perfect power (a square), and thus also a powerful number.

216153773304561 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 5 + 3 + 7 + 73 + 3 + 0 + 4 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (216153773304559) and next prime (216153773304563).

It can be written as a sum of positive squares in only one way, i.e., 3529081602225 + 212624691702336 = 1878585^2 + 14581656^2 .

It is not a de Polignac number, because 216153773304561 - 2¹ = 216153773304559 is a prime.

It is a super-2 number, since 2×216153773304561² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216153773304498 and 216153773304507.

It is not an unprimeable number, because it can be changed into a prime (216153773304563) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6130786845 + ... + 6130822101.

Almost surely, 2^{216153773304561} is an apocalyptic number.

216153773304561 is the 14702169-th square number.

216153773304561 is the 7351085-th centered octagonal number.

It is an amenable number.

216153773304561 is a deficient number, since it is larger than the sum of its proper divisors (98339625727290).

216153773304561 is an frugal number, since it uses more digits than its factorization.

216153773304561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70798 (or 35399 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 216153773304561 in words is "two hundred sixteen trillion, one hundred fifty-three billion, seven hundred seventy-three million, three hundred four thousand, five hundred sixty-one".